physics : class11 Effect of Distance on Gravity : Gravitational Force : Gravitation MCQ Questions and Answers
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Effect of Distance on Gravity
MCQ questions and answers.
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MCQ Questions
1. According to Newton's law of gravitation, how does the gravitational force between two masses change when the distance between them is doubled?
A.
It becomes twice as large
B.
It becomes four times as large
C.
It becomes one-fourth as large
D.
It remains unchanged
Correct Answer:
It becomes one-fourth as large
Explanation:
Gravitational force is inversely proportional to the square of the distance. Therefore, doubling the distance makes the force 1 divided by 2 squared, or one-fourth, of its original value.
2. If the distance between two masses is reduced to half its original value, what happens to the gravitational force between them?
A.
It becomes one-fourth as large
B.
It becomes twice as large
C.
It becomes four times as large
D.
It becomes half as large
Correct Answer:
It becomes four times as large
Explanation:
Since gravitational force varies inversely as the square of distance, reducing the distance to half increases the force by a factor of 1 divided by (1/2) squared, which is four.
3. A gravitational force is 36 N when the distance between two objects is r. What is the force when the distance becomes 3r?
A.
108 N
B.
12 N
C.
4 N
D.
324 N
Correct Answer:
4 N
Explanation:
The force varies inversely as the square of distance. At a distance of 3r, the force is 36 divided by 3 squared, equal to 4 N.
4. If the distance between two objects is increased by a factor of 4, by what factor does their gravitational force change?
A.
It becomes 4 times smaller
B.
It becomes 8 times smaller
C.
It becomes 16 times smaller
D.
It becomes 16 times larger
Correct Answer:
It becomes 16 times smaller
Explanation:
The gravitational force is inversely proportional to the square of the distance. Increasing the distance fourfold reduces the force by 4 squared, or 16.
5. Two objects exert a gravitational force F on each other at a distance r. At what distance will the force be F/9?
A.
r/9
B.
r/3
C.
3r
D.
9r
Correct Answer:
3r
Explanation:
For the force to become one-ninth, the distance must increase by the square root of 9, which is 3. Therefore, the required distance is 3r.
6. When the distance between two masses is tripled, the gravitational force becomes:
A.
One-third of its original value
B.
One-sixth of its original value
C.
One-ninth of its original value
D.
Three times its original value
Correct Answer:
One-ninth of its original value
Explanation:
Gravitational force is inversely proportional to the square of distance. Tripling the distance makes the force 1 divided by 3 squared, or one-ninth, of its original value.
7. A force of 20 N acts between two masses separated by a distance r. What will be the force if the distance is reduced to r/2?
A.
5 N
B.
10 N
C.
40 N
D.
80 N
Correct Answer:
80 N
Explanation:
Reducing the distance to half increases the gravitational force by four times. Thus, the new force is 4 multiplied by 20 N, equal to 80 N.
8. If the distance between two masses is increased from r to 2r, the gravitational force changes from F to:
A.
2F
B.
F/2
C.
F/4
D.
4F
Correct Answer:
F/4
Explanation:
Because gravitational force varies inversely as the square of distance, replacing r by 2r changes the force to F divided by 2 squared, which is F/4.
9. At what distance from a mass will the gravitational force be one-fourth of the force at distance r?
A.
r/4
B.
r/2
C.
2r
D.
4r
Correct Answer:
2r
Explanation:
The force becomes one-fourth when the distance is multiplied by the square root of 4, which is 2. Hence, the distance must be 2r.
10. If the distance between two masses is reduced to one-third of its original value, the gravitational force becomes:
A.
One-ninth of its original value
B.
One-third of its original value
C.
Three times its original value
D.
Nine times its original value
Correct Answer:
Nine times its original value
Explanation:
Gravitational force varies inversely as the square of distance. Reducing the distance to one-third increases the force by the square of 3, which is nine.
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